DISEQUILIBRIUM, SELECTION, AND RECOMBINATION: LIMITS IN TWO-LOCUS, TWO-ALLELE MODELS | Zendy

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DISEQUILIBRIUM, SELECTION, AND RECOMBINATION: LIMITS IN TWO-LOCUS, TWO-ALLELE MODELS

Author(s) -

Alan Hastings

Publication year - 1981

Publication title -

genetics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.792

H-Index - 246

eISSN - 1943-2631

pISSN - 0016-6731

DOI - 10.1093/genetics/98.3.659

Subject(s) - disequilibrium , linkage disequilibrium , locus (genetics) , allele , recombination , biology , genetics , selection (genetic algorithm) , heterozygote advantage , allele frequency , haplotype , gene , computer science , medicine , artificial intelligence , ophthalmology

All possible combinations of equilibria and fitnesses in two-locus, two-allele, deterministic, discrete-generation selection models are enumerated. This knowledge is used to obtain limits (which can be calculated to arbitrary precision) to the relationships among disequilibrium, selection and recombination for fixed values of allele frequencies. In all cases, the inequality|rD| < s/10 holds, where r is recombination and D is disequilibrium, and all selection coefficients lie between 1 - s and 1 + s times that of the double heterozygote. Linear programming techniques are used to calculate the minimum strength of selection needed to explain several observed nonzero values of D reported in the literature. One conclusion is that the failure to observe nonzero values of D is not surprising.

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